Atkin-Lehner |
2- 5+ 7+ 13+ |
Signs for the Atkin-Lehner involutions |
Class |
4550o |
Isogeny class |
Conductor |
4550 |
Conductor |
∏ cp |
2 |
Product of Tamagawa factors cp |
deg |
3456 |
Modular degree for the optimal curve |
Δ |
-12014843750 = -1 · 2 · 58 · 7 · 133 |
Discriminant |
Eigenvalues |
2- -1 5+ 7+ -3 13+ 6 2 |
Hecke eigenvalues for primes up to 20 |
Equation |
[1,1,1,162,5281] |
[a1,a2,a3,a4,a6] |
j |
30080231/768950 |
j-invariant |
L |
1.9061650251697 |
L(r)(E,1)/r! |
Ω |
0.95308251258486 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
36400br1 40950v1 910b1 31850by1 |
Quadratic twists by: -4 -3 5 -7 |